40122742128 has 120 divisors (see below), whose sum is σ = 124730833680. Its totient is φ = 11068323840.

The previous prime is 40122742123. The next prime is 40122742139. The reversal of 40122742128 is 82124722104.

It is a super-3 number, since 3×40122742128³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40122742123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225913 + ... + 362328.

It is an arithmetic number, because the mean of its divisors is an integer number (1039423614).

Almost surely, 2^40122742128 is an apocalyptic number.

40122742128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40122742128 is an abundant number, since it is smaller than the sum of its proper divisors (84608091552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40122742128 is a wasteful number, since it uses less digits than its factorization.

40122742128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588295 (or 588282 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The spelling of 40122742128 in words is "forty billion, one hundred twenty-two million, seven hundred forty-two thousand, one hundred twenty-eight".